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已知等差数列{an}满足a5=13,a1+a3=8. (1)求{an}的通项公式 (2)设Sn是等比数列{bn}的前n项和若b1=a1,b3=a4﹣1,求S6.
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高二下学期数学《》真题及答案
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数列满足.1若数列是等差数列求证数列是等差数列2若数列都是等差数列求证数列从第二项起为等差数列3若数
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Mr.PeterJohnsonagedtwenty﹣threebattledforhalfanhourtoescapefromhistrappedcaryesterdaywhenitlandedupsidedowninthreefeetofwater.Mr.Johnsontooktheonlyescaperoute﹣﹣throughtheboot行李箱. Mr.Johnson'scarhadfinishedupinaditch沟渠atRomneyMarsinKentafterskiddingoniceandhittingabank.FortunatelythewaterbegantocomeinonlyslowlyMr.JohnsonsaidIcouldn'tforcethedoorsbecausetheywerejammedagainstthewallsoftheditchanddarednotopenthewindowsbecauseIknewwaterwouldcomefloodingin. Mr.JohnsonasweetsalesmanofSittingHomeKentfirsttriedtoattracttheattentionofothermotoristsbysoundingthehornandhammeringontheroofandboot.Thenhebeganhisstruggletoescape. LaterhesaidItwasreallyahalfpennythatsavedmylife.ItwastheonlycoinIhadinmypocketandIusedittounscrewthebackseattogetintotheboot.Ihammereddesperatelywithahammertryingtomakesomeonehearbutnohelpcame. Ittooktenminutestounscrewtheseatandafurtherfiveminutestoclearthesweetsamplesfromtheboot.ThenMr.Johnsonfoundawrenchandbegantoworkonthebootlock.Fifteenminutespassedby.ItwastheonlychanceIhad.FinallyitgavebutassoonasImovedthebootlidthewaterandmudpouredin.Iforcedtheliddownintothemudandscrambledclearasthecarfilledup. HishandsandarmscutandbruisedMr.JohnsongottoBeckettFarmnearbywherehewaslookedafterbythefarmer'swifeMrs.LucyBates.TremblinginablankethesaidThatthirtyminutesseemedlikehours.Onlythetipsofthecarwheelswerevisiblepolicesaidlastnight.Thevehiclehadsunkintotwofeetofmudatthebottomoftheditch. 1Inwhichsectionofanewspapercanwereadthisarticle? A.Bookreview B.Newsreport C.Campuslife D.Continuedstory 2TheunderlinedsentenceinParagraph5Finallyitgavemeansthat. A.luckilythedoorwastornawayintheend B.atlastthewrenchwentbroken C.thelockcameopenafterallhisefforts D.thechancewaslostatthelastminute 3Itcanbeinferredfromthepassagethat. A.theditchwasalongaquietcountryroad B.theaccidenthappenedonaclearwarmday C.thepolicehelpedMr.Johnsongetoutoftheditch D.Mr.Johnsonhadatenderwifeandwaswellattended
Wehaveagrowingpopulationandtweneedmorefood.
TheMonkeesbupabout1970buthappilytheyreunitedinthemid﹣1980﹩.
WhilecheckingoutatthegrocerystoreInoticedawomanbehindme.Shewas1oneofshoppingcartswiththebasketinfront.Thebasket2justafewitemssomeapplesaloafofbreadsomecannedgoodsanda3ofcoral﹣coloredroses.I4toherthattheywereindeedverylovelyroses.ShesaidIreallydolovethemthey'remyfavorite5. WelljustasIwasleavingIheardhersaytothecashierYoucan6thebunchofrosesbackIreallycouldn't7them.Iturnedaroundandaskedherifshewould8metogetthemforher.She9herheadandsaidWhywouldyouwanttodothat?Youcertainlydon'thaveto.IrepliedthatIjustwantedto10sinceshelovedthemsomuch.Shestillseemed11.SoItoldher12shewouldallowmeto13themtohershewouldbedoingmeafavor.WithtearsinhereyesshesaidIreallydolovethem.Thanks.AsI14thecashierthemoneyfortherosesInoticedhewasalittle15aswell. OnthewayhomeIwasreminded16asongIhadhearddecadesagoandI'velovediteversince.Thesongis'BreadandRoses'.It'sabeautifulsongonmanylevelsandremindsusthatwe17needfoodbutweallalsoneed18. Alinefromthissongfitsthissituationperfectly.It19Heartsstarveaswellasbodies.Giveusbreadbutgiveus20too. 1A.driving B.holding C.dragging D.pushing 2A.held B.Put C.presented D.produced 3A.box B.bunch C.basket D.handful 4A.Showed B.commented C.introduced D.recommended 5A.smell B.shape C.color D.memory 6A.deal B.put C.pick D.come 7A.make B.collect C.manage D.afford 8A.allow B.advise C.want D.prefer 9A.nodded B.shook C.lowered D.raised 10A.partly B.especially C.specially D.merely 11A.puzzled B.shocked C.hesitant D.Regretful 12A.if B.but C.only D.just 13A.owe B.pass C.gift D.deliver 14A.charged B.awarded C.offered D.handed 15A.teary﹣eyed B.starry﹣eyed C.weary﹣eyed D.sharp﹣eyed 16A.of B.for C.to D.if 17A.notif B.notbut C.noteven D.notonly 18A.love B.share C.money D.beauty 19A.reads B.sings C.speaks D.shows 20A.goodness B.roses C.comfort D.medicine
WhenIpackedupmylifeandmovedfromthecomfortsofmylittlehometowntoWacoIrememberfeeling1lose.AllmyfriendsweresoexcitedtostarttheirownlivesbutIjustwasn'tsure2Iwasreadyforthatyet.Manythingsworriedme.ButIhidmyfearsandwhenthetime3finalcameIhuggedmymothergoodbyemadethetwo﹣hourone﹣waydrivefromCoppeltoWacoandsetupmynewroom. ForthefirstfewweeksIdidn'tmisshomeorreallyfeelanykindofemotionatallexcepttired.Therewassomuchformetolearn4Ihadn'thadtimetothinkaboutanything.Myenergy5directtowardsfiguringoutcampusadjustingtocollege﹣levelclassesandrememberingthenamesofeverynewpersonImet.Iexploredeverycorner6lookfortheperfectplacetostudy.Ilearnedtoset7IascheduleofgettinggroceriescleaningmyroomanddoingmylaundryonSundays. NowadaysinmysecondsemesterIfeellikeIhavealmostadapted8theuniversitylife.Thetransitionfromhighschooltocollegewasn't9difficultasmymindmademethinkitwouldbe.Oneofthebest10thingcollegehastaughtmeishowtobeindependent.
ItwasMother'sDaybuttheyoungmotherwasalittleunhappybecauseshewas800milesawayfromherparents.Inthemorningshephonedhermother1wishherahappyMother'sDayandhermothertoldheraboutthebeautifullilacs丁香inthegarden.2latethatdaywhenshetoldherhusbandaboutthelilacshesaidIknowwherewecanfindallthatyouwant.Getthechildrenandcomeon.Sotheywent3drivedownthecountryroads. Thereonasmallhilltheysawalotof4beautypurplelilacs.Theyoungwomanranquicklytoenjoytheflowers.Carefullyshepickedafewhereandafewthere.Ontheirwayhometherewasasmile5herface.ziliaoqun700292070 Whentheywerepassinganursinghome养老院theyoungwomansaw6oldgrannysittinginachair.Shehadnochildrenwithher.They7stopthecarandtheyoungwomanwalkedtotheoldwomanputtheflowersinher8handandsmiledather.Theoldgrannythankedheragainandagain.Shesmiledhappilytoo. Whentheyoungmothercamebacktohercarherchildrenaskedher9isthatoldgranny?Whydidyougiveourflowerstoher? Idon'tknowher10theymothersaid.Butit'sMother'sDayandshehasnochildren.IhaveallofyouandIstillhavemymother.Justthinkhowmuchthoseflowersmeanttoher.
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AphotographthatonehastakenofoneselftypicallywithasmartphoneorwebcamanduploadedtoasocialmediawebsiteisthedefinitionofselfieintheOxfordEnglishDictionary.Infactitwasn'teveninthedictionaryuntilAugustoflastyear.Itearneditsplacetherebecausepeoplearenowsoobsessedwith对……痴迷selfies﹣wetakethemwhenwetryonanewhatplaywithourpetsorwhenwemeetafriendwhomwehaven'tseeninawhile. Butisthereanyscientificexplanationforthisobsession?WellyoushouldprobablyaskJamesKilneraneuroscientist神经系统科学家atUniversityCollegeLondon. Throughourlifetimewebecomeexpertsatrecognizingandinterpretingotherpeople'sfacesandfacialexpressions.IncontrastaccordingtoKilnerwehaveaverypoorunderstandingofourownfacessincewehavelittleexperienceoflookingatthem﹣wejustfeelthemmostofthetime. ThishasbeenprovedinpreviousstudiesaccordingtotheBB24C. Kilnerfoundthatmostpeoplechosethemoreattractivepicture.Thissuggeststhatwetendtothinkofourselvesasbetter﹣lookingthanweactuallyare.TofurthertesthowweactuallyperceiveourownfacesKilnercarriedoutanotherstudy.Heshowedpeopledifferentversionsoftheirownportrait﹣theoriginalonethathadbeeneditedtolooklessattractiveandonethatwasmademoreattractive﹣andaskedthemtopicktheversionwhichtheythoughtlookedmostlikethem.Theychosethemoreattractiveversion. Butwhatdoesitsayaboutsettles?Wellisn'tthatobvious?Selfiesgiveusthepowertocreateaphotograph﹣bytakingitfromvariousangleswithdifferentposesusingfilters滤色镜andsoon﹣thatbettermatchesourexpectationswithouractualfaces. Yousuddenlyhavecontrolinawaythatyoudon'thaveinnon﹣virtual非虚拟的interactionsKilnertoldtheCanada﹣basedCTVNews.Selfiesallowyoutokeeptakingpicturesuntilyoumanagetotakeoneyou'rehappywithheexplained. 1Whatisthepassagemainlyabout? A.Thedefinitionandfunoftakingselfies. B.Theexplanationofwhypeoplelovetakingselfies. C.Howtakingselfiesinfluencespeople'sdailylives. D.Howtointerpretpeople'sfacialexpressionsintheirselfies. 2TheunderlinedwordperceiveinParagraph5canbereplacedby. A.interpret B.beautify C.choose D.destroy 3AccordingtoKilnerpeopleliketakingselfiesprobablybecausetheythink. A.itisagoodchancetolearnmoreabouttheiractualfaces B.itisawaytorespondtoothers'facialexpressionscorrectly C.itenablesthemtointeractwiththeirfriendsinsocialmedia D.itallowsthemtosatisfytheirexpectationswiththeirappearances
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我妈妈宁可我把注意力都放在学习上. MymotherwouldratherImoreattentionmystudy.
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CoitTower CoitTowerprovides360﹣degreeviewsofSanFranciscoandthebayincludingtheGoldenGateBridge.Themostfantasticviewscanbeseenfromtheobservationdeckwhichisreachedbyanelevator.Itcosts﹩7togetontheelevator.Itis4.9milesfromCoitTowertoGoldenGateBridge. CrissyField CrissyFieldaformerarmyairportlocatedsouthoftheGoldenGateBridgeinthePresidiowasrebuiltin2001andofferswidewalkingandcyclingtrailsbetweentheMarinaGreenandFortPoint.ItofferswonderfulviewsoftheGoldenGateBridgepicnicareasandasmallsandybeachwhichispopularwithfamilies.AlongCrissyFieldvisitorscanstopforlunchattheWarmingHuttheBeachHutCafeortheHouseofAir.DistancefromGoldenGateBridge2.4milesfromtheMarinaGreen. Fort堡垄Point ForacloseviewofthebridgevisitFortPointwhichisaCivilWartimebrickfortwhichcanbeenteredthroughtheMarineDriveparkatCrissyField.AlthoughFortPointneverhadanymilitary军事的actiontheGoldenGateBridge'schiefengineerJosephStraussredesignedthebridgetopreservethefortasafineexampleofsomekindofart.nDistancefromGoldenGateBridge1.2miles. LandsEnd LandsEndnearLincolnParkoffersaperfectviewoftheGoldenGateBridge.Visitorscanwalkalongapavedsidewalknearthe17thholeoftheLincolnParkMunicipalGolfCourse.Herethereareseveralbenchesandphotoopportunitiestopicturethebeautyofthebridge.DistancefromGoldenGateBridge3.0miles. 1Wherecanvisitorshaveapicnic? A.AtCoitTower. B.AtCrissyField. C.AtFortPoint. D.AtLandsEnd. 2WhydidJosephredesignthebridge? A.Toofferwidewalkingandcycling. B.Topicturethebeautyofthebridge. C.Totakeacloseviewofthebridge. D.Tosavethefortasanart. 3Whatisthepurposeofthetext? A.TointroducesomeplacestoviewGoldenGateBridge. B.TointroducesomegreatplacesinGoldenGateBridge. C.TocomparethefourfamousplacesinSanFrancisco. D.TointroducethehistoryofGoldenGateBridge.
DaniellaWridewasbrushingherdaughter'slongbrownhairwhenshenoticedthatwitheachcombmassesofthehairwerecomingout.ThatwasJanuary12017.Within20daysseven﹣year﹣oldGianessaWride'shairwascompletelygoneandherdoctorsaidthehairwouldnevergrowback.Gianessahadbecomeoneofthe6.8millionAmericanswithalopeciaanauto﹣immunediseasethatcauseshairloss. Alopeciaisn'tpainfulbutforkidswhosufferfromittheseverepaincomesfromstandingoutfromthecrowd.ForthemostpartthestudentsinGianessa'sfirst﹣gradeclassinSalemUtahwereunderstanding.ButtheoccasionaljokesofBaldymadeherfeellikeanabandonedchild.Ididn'twanthertofeelthatshewasn'tliketheotherkidshermothersaid.Itriedcoveringherbaldnessbuttheman﹣madehairwasuncomfortable. Thencomestheschool'straditionalCrazyHairDayinAprilagreatjust﹣for﹣funcelebrationwhereallthekidsandtheirparentscanexpresstheirwildsidesabit.DaniellaandGianessadecidedthatratherthanhideGianessa'sbaldnessundertheman﹣madehairtheywouldcelebrateit.Daniellaboughtscrapbook﹣stickerjewelsanddecoratedherheadwithflowereddesignsandevenadeer.TheyjustfitherpersonalityDaniellasmiled.She'ssolovely. OnthemorningofthecompetitionGianessawasnervous.Wouldherfriendsthinkitwasfunny?Howeverwithhermother'sencouragementshehadnothingtofear.ImpressiveGianessawasahitandawinnerofthecrazy﹣haircompetition.Gianessaisnowgladthatshedaredtogobare.IwassadatfirstwhenIlostallmyhairshetoldpeople.ButnowIlovebeingbald.Icandothingstomyheadthatotherkidscan't.I'mthinkingnowitmightbefuntodecoratemyheadwithsomecolorfulbutterfliesandflowers. 1WhywasGianessadifferentfromotherkids? A.Shewasbornbald. B.Shehadherheadfullyshaved. C.Shewastalentedinhairdesigning. D.Shesufferedfromhairloss 2HowdidothersreacttoGianessa'sdisease? A.Herdoctorwasquiteoptimistic. B.Hermothergaveherman﹣madehair. C.Herclassmateswereallconsiderate. D.Herschoolneverofferedherhelp. 3WhatcouldGianessadoontheCrazyHairDay? A.Shecouldshowherpersonality. B.Shecoulddecorateherhair. C.Shecouldshopscrapbook﹣stickers. D.Shecouldteaseothers. 4Whatisthemainideaofthetext? A.Theman﹣madehairbuiltupthegirl'sconfidence. B.Thegirlfacedherdiseaseinamostbeautifulway. C.Thecompetitionservedasawaytomakeachange D.Thediseasewascuredwithmother'sloveandcare.
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Therehasbeenanoutpouringoflovefora23﹣year﹣olddisabledwomanwhosedogwaskilledinfrontofherwhileagroomer美容师triedtotrimitsclaws. CallsandemailscamefromasfarawayastheUpperPeninsulaandArizonaaswellasOaklandandMacombcountiesofferingLaurieCrouchwhousesawheelchairbecauseofmultiplesclerosis硬化症everythingfromdogstomoneysuchasthatfromJasonDalyofRosevillewhosaidIwouldliketobuyheranewdog. AstoryaboutthedeathofCrouch'spetGoochwasprintedonthefrontpageofMacombDaily.CrouchsaidagroomertiedGoochupwithacollarandthensheandamansatonthedogtotrim修剪itsnails.Goochdiedafteroneclawwastrimmed. CrouchyelledatthegroomertostopwhenshesawGoochwasstrugglingtobreathebutshesaidshewasignored.IfIcouldhavewalkedIwouldhaveputmyhandsonherandpulledheroffmydogandphysicallystoppedherbutIcan'tdothat.GoochwasnotatrainedserviceanimalbutnaturallyhelpedCrouchbypickingupthingsforher. Thiscaseisabsoluteanimalabuse虐待LarryObrechtdivisionmanageroftheOaklandCountyAnimalShelterinAuburnHillssaid. PeoplewhoreadthestorycontactedOaklandPresstoofferhelp.AmessagefromRebeccaAmettofGigglesNWigglesPuppyRescueinRosevillesaidWehavepuppiestodonateandwanttohelptheyoungwomanwholostherservicedog. WhenGoochwaswithmeIwashappyCrouchsaidIthinkIcanbehappyagainbutnoanimalcanreplaceGooch.There'snevergoingtobeanotherGoochouttherebutIthinkIwillfindadogthatcanbringmejoyagain. 1Peoplecalledandemailedto. A.givetheirangryvoicetothegroomer B.offerhelpandcaretoLaurieCrouch C.tellCrouchhowtopunishthegroomer D.offeracureforCrouch'sdisease 2Goochdiedmainlybecause. A.thegroomerwascareless B.thegroomerdidn'tknowhowtotrimthedog'snails C.thegroomersatonthedogwithanotherman D.thedogwaswearingacollar 3WhatdoweknowaboutCrouch'sdog? A.Itwasaspeciallytrainedservicedog. B.Itwastrainedtodomanythingsforpeople. C.ItwasCrouch'sonlyfriend. D.ItcouldoffersomehelptoCrouch. 4Whatdoesthepassagemainlytellus? A.Adisabledwoman'sservicedog. B.Acruelgroomerkilledadisabledwoman'sdog. C.People'sloveforadisabledwomanwholostherdog. D.Adisabledwomanlovestohavethedogascompany.
Heenteredtheroomwithoutp.
他们谈起话来就好像长时间的老朋友一样. Theytalkedasiftheyoldfriendsforalongtime.
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Ifyouaskmostpeoplewhatwatertasteslikethey'llprobablytellyouthatwaterhasnotasteandtheymaygiveyouafunnylook.Butifyouwereafruitflyaskinganotherfruitflythatquestionmighthaveadifferentanswer. Toafruitflywaterhasataste.Scientistswanttoknowhowthefruitflyknowswaterbecausethisinformationmayhelpinlearninghowotheranimalsmanagetousewaterintherightway.Waterisveryimportanttolifebuttoomuchortoolittlecanbedeadlytoalivingcreature.Sobyunderstandinghowthefruitflytasteswaterresearchersmaylearnmoreaboutotherlivingthings. AccordingtothenewstudyaproteincalledPPK28makesitpossibleforaflytotastewater.Proteinsbuildcellsandtissuesfightdiseaseandcarrymessagesbetweencells.It'snotsurprisingthataproteinisresponsibleforthefruitfly'sabilitytotastewater. ThePPK28proteinispartofalargerfamilyofsimilarproteins.Oneoftheserelatedproteinsisusedbymammalsincludinghumanstotastesalt.Scientistshavenotfoundaproteinthatenableshumanstotastewater.IntheexperimentCameronandhisteamcomparednormalfruitflieswithfruitflieswhosetastecellshadhadbeendisabled.ThefruitfliesweregivenaspecialchemicalthatwouldglowwhentheflyusedthePPK28protein.Thenthescientistsledthefliestowater.WhenthenormalfliestastedthewaterthePPK28proteinlitup﹣showingthatitwasinuse.Thefruitflyinparticularissointerestingthatsomescientistsarehardatworkcreatingacompletemapofthefruitflybrain.Thismapwillshowallofafly'sneuronsandhelpscientistsunderstandhowtheneuronsworktogether. 1Howdomostpeoplefeelwhenaskedthetasteofwater? A.Disappointed B.Frightened. C.Amused D.Disgusted. 2Whydoscientistswanttounderstandhowthefruitflyknowswater? A.Todecreasethenumberofthefruitfly. B.Toknowmoreaboutothercreatures. C.Tomanagetousewatercorrectly. D.Todescribethetasteofwater. 3WhatdoweknowaboutthePPk28protein? A.Itcanmakehumanstastesalt. B.Itenablesthefruitflytotastewater. C.Thefruitflycan'tlivewithoutit. D.Thefruitflyusesittoavoidillnesses. 4Whatwillthescientistscontinuetoworkat? A.MakingthePPk28protein. B.Tellingmoreinformationaboutcells. C.Creatingmapsofhumanbrains. D.Studyingthefruitfly'sneuronsystems.
假设你是南阳中学的学生李华将参加主题为Let'spickupabookandread的英语演讲比赛.请你写一份演讲稿主要内容包括 1.目前很多学生课余时间沉溺于网络远离书本导致记忆力减退对学习失去兴趣等问题. 2.阅读的益处如开阔视野增强理解力提高成绩等. 注意1.词数100左右.演讲稿开头和结尾已给出但不计入总词数. 2.可适当增加细节以使行文连贯. Goodmorningeveryone I'mLiHuafromNanyangMiddleSchool.ThetopicofmyspeechisLet'spickupabookandread. Thankyou!
IntheUSAColumbusDayisinmofthearrivalofChristopherColumbusintheNewWorld.
It'sasadandfamiliarvoicethatweoftenhearinbigcitiesCanyousparesomechange? Usuallywhenfacedwiththatparticular1IhavefeelingsofguiltifIpassby2givingacoinortwo. Ihadthatfeeling3inVenicewhileonatourofItaly'sfamoussitesin2006.Ihadtakenrefugefromthe4inaquietcafé.Outsidetherewasanoldwomankneelingonthehardancientpavingstones5. Steady6oftouristswerewalkingpasther.Ayoungbackpackerstoodawayfromthecrowd7drinkinginthescenerybutInoticedtheyoungtravelerwasalso8theoldwoman. Atouristgroupwalkedalongthestreet9thewomanandwalkedon.10groupoftouristsarrivedandwalkedpasttheoldlady.Thebackpackerwatched11everybodyelsewentontheirwayfocusedonthe12aroundthem.ThenIwaspreparingtoleavewhenIcaughtsightofthebackpackersteppingforwardand13somemoneyinthewoman'scup.Hedidthissomewhat14justbeforethearrivalofanothertouristgroup.AsI15theleaderofthegroupstoppedandputsomemoneyinthecup.Havingbeenshownthewayothertouristsfollowedsuitand16somemorecoinstothecup. Hisworkdonetheyoungmanwalkedovertotheoldbeggar﹣womanpattedherontheshoulderandsaidIhopethat17alittle. Idon'tknowifthewomanunderstoodhisEnglishor18whathadjusthappenedbutIdid. Iplacedsomemoneyinthewoman'scupandcontinuedmytravels19afterwitnessingsuchan20actofkindness. 1A.sound B.question C.excuse D.command 2A.beyond B.after C.without D.before 3A.manytimes B.sometimes C.onlyonce D.onceagain 4A.crowds B.families C.streets D.signs 5A.singing B.crying C.begging D.trembling 6A.streams B.packs C.masses D.groups 7A.simply B.seemingly C.similarly D.specially 8A.showing B.following C.checking D.observing 9A.glancedat B.laughedat C.rushedat D.staredat 10A.One B.More C.Another D.Other 11A.if B.since C.because D.as 12A.stones B.sights C.signs D.tourists 13A.lending B.borrowing C.placing D.taking 14A.accidentally B.successfully C.deliberately D.cheerfully 15A.watched B.shown C.understood D.walked 16A.changed B.charged C.found D.added 17A.measures B.helps C.explains D.matters 18A.recognized B.caught C.realized D.figured 19A.pleasant B.annoyed C.disappointed D.delighted 20A.beautiful B.admirable C.pure D.accurate
Abdietandregularphysicalactivitywillhelpyoukeepfit.
ThemusicwaswrittenbyAbingafolkmwhowasborninthecityWuxiin1893.
BothEnglishandFrenchareolanguagesinCanada.
Tobehalotofpeopleattachgreatimportancetobecomingrichandfamous.
难以相信的是itactuallyworks.
HowtomakeQuickDecisionsForYourLife Wemakedecisionseveryday.1Whenitcomestomakingdecisionschoosingtherightonecanattimesbestressfulespeciallyifthedecisionmustbemadequickly.Indecisionoftenweighsusdownbuttherearesomeusefultipsformakingquickdecisionsmoreeasily. 2Sometimesthekeytomakingaquickdecisioncomesdowntoplanningaheadoftimeforjustsuchanoccasion.Weallknowwe'regoingtocometoanimportantdecision﹣makingpointsoonerorlatersohavingaplanalreadyinhandcanputourmindateasewhenthattimecomes. Overcomefear.3Whileitmayseemdifficulttoovercomethefearofmakingthewrongchoicemanyexpertsagreethatweshouldn'tbeafraidtomakethewrongdecisionevenifitseemsimportant.Thevastmajorityofwrongdecisionscanbecorrectedwhiledelayingdecisionscanoftenleadtomoreproblems. Writedownalltheadvantagesanddisadvantagesofyourdecision.Evenifyoudon'thavealltheinformationwritingdownalltheprosandcons优缺点isagoodstartingpointforfiguringoutwhattodo.Incaseswheretheresimplyisn'tenoughtimetowritethingsdownmakeamentallistinyourmind.Thinkingoftheprosandconscanhelpyouorganizeyourthoughts.4 Determinecriteria.Rememberthateverydecisionyoumakeshouldcomewithacertainlistofcriteria.5Butonceyouknowtherequirementsyou'relookingformakingadecisionwillbecomeeasier.Lookforthechoicethatsatisfiesthelistyou'vemadeandoncethatchoiceisfoundyoushouldmoveaheadwithit. A.Haveaplan. B.Thelistmaybeshortorquitelong. C.Communicateyourdecisionwithothers. D.Andthiscanalwaysleadtoaclearanswer. E.Socutoutanyoptionsthatyouknowyouwillnotchoose. F.Oftenonethingthatkeepsusfrommakingdecisionsisfear. G.Somecanbeveryimportantwhileothersarenotseriousinthelongrun.
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